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Shadowing of Ultrahigh Energy Neutrinos
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The rise with energy of the neutrino--nucleon cross section implies that at energies above few TeV the Earth is becoming opaque to cosmic neutrinos. The neutrinos interact with the nucleons through the weak charged current, resulting into absorption, and the weak neutral current, which provides a redistribution of the neutrino energy. We Mellin transform the neutrino transport equation and find its exact solution in the moment space. A simple analytical formula is provided, which describes accurately the neutrino spectrum, after the neutrinos have traversed the Earth. The effect of the weak neutral current is most prominent for an initial flat neutrino spectrum and we find that at low energies (around 1 TeV) the neutrino intensity is even enhanced.
Forward citations
Cited by 2 Pith papers
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The Neutrino Kaleidoscope: Searches for Non-Standard Neutrino Oscillations at Neutrino Telescopes with a TeV Muon Accelerator Source
A TeV muon accelerator aimed at a cubic-kilometer neutrino telescope could probe sterile neutrinos and Lorentz violation orders of magnitude beyond current limits.
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Lepton interactions from GeV to EeV
Phenomenological study predicting incomplete tau polarization at FASER2, observable neutrino and muon trident processes, and contributions to hadron structure from IceCube neutrino events.
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